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Finding the Third Proportional to 516,097.50 and 1,214,274

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Solution

The third proportional to 516,097.50 and 1,214,274 is: 2,856,943.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,097.50 : 1,214,274 = 1,214,274 : x
  2. Step 2: Convert to fraction form
    516,097.50/1,214,274 = 1,214,274/x
  3. Step 3: Cross multiply
    516,097.50x = 1,214,274 × 1,214,274
  4. Step 4: Simplify right side
    516,097.50x = 1,474,461,347,076
  5. Step 5: Solve for x
    x = 1,474,461,347,076/516,097.50
  6. Step 6: Final answer
    x = 2,856,943.40

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.